source file: mills2.txt Date: Thu, 30 Jan 1997 12:03:01 -0800 Subject: Fretless Guitars. From: clucy@cix.compulink.co.uk (Charles Lucy) I appreciate the freedom that you have without frets, yet playing any sort of fretted chord becomes almost impossible. Fret positions for LucyTuned 19 & 31 frets per octave instruments. Intervals > Large small Ratios > 1.116633 1.073344 cents > 190.9858 122.5354 Distance of Nut to Bridge 650 (Inches or millimetres) Fifth Guitar String FIRST OCTAVE IntervalSECOND OCTAVE NoteName Scale Distance Fret Fret (L&s) Distance Fret Fret Marks@ * Position NutToFret of 19 of 31 from NutToFret of 19 of 31 A ** I 0.0000 0 0 Nut 325.0000 19 31 Bbb bbII 19.9923 - 1 (2s-L) 334.9962 - 32 A# #I 25.1987 1 2 (L-s) 337.5994 20 33 Bb bII 44.4160 2 3 s 347.2080 21 34 Ax xI 49.4205 - 4 (2L-2s) 349.7103 - 35 B II 67.8928 3 5 L 358.9464 22 36 Cb bbIII 85.7970 - 6 2s 367.8985 - 37 B# #II 90.4595 4 7 (2L-s) 370.2298 23 38 C * bIII 107.6696 5 8 (L+s) 378.8348 24 39 Dbb bbIV 124.3503 - 9 3s 387.1751 - 40 C# III 128.6942 6 10 2L 389.3471 25 41 Db bIV 144.7283 7 11 (L+2s) 397.3641 26 42 Cx #III 148.9038 - 12 (3L-s) 399.4519 - 43 D * IV 164.3163 8 13 (2L+s) 407.1581 27 44 Ebb bbV 179.2546 - 14 (L+3s) 414.6273 - 45 D# #IV 183.1449 9 15 3L 416.5724 28 46 Eb bV 197.5042 10 16 (2L+2s) 423.7521 29 47 Dx xIV 201.2436 - 17 (4L-s) 425.6218 - 48 E * V 215.0462 11 18 (3L+s) 432.5231 30 49 Fb bbVI 228.4242 - 19 (2L+3s) 439.2121 - 50 E# #V 231.9081 12 20 4L 440.9541 31 51 F bVI 244.7676 13 21 (3L+2s) 447.3838 32 52 Ex xV 248.1164 - 22 (5L-s) 449.0582 - 53 F# * VI 260.4773 14 23 (4L+s) 455.2387 33 54 Gb bbVII 272.4580 15 24 (3L+3s) 461.2290 34 55 Fx #VI 275.5781 - 25 5L 462.7890 - 56 G bVII 287.0943 16 26 (4L+2s) 468.5472 35 57 Abb bbVIII 298.2564 - 27 (3L+4s) 474.1282 - 58 G# VII 301.1632 17 28 (5L+s) 475.5816 36 59 Ab bVIII 311.8925 18 29 (4L+3s) 480.9462 37 60 Gx #VII 314.6866 - 30 6L 482.3433 - 61 A ** VIII 325.0000 19 31 (5L+2s) 487.5000 38 62 The following list may trigger some useful ideas re: Alternative Guitar Tunings. The following alternative open and "slack-key" guitar tunings are intended for use on LucyTuned Guitars. The same notenames may be used for 12 and other et systems, plus meantone tuned guitars, (Pythagorean etc.), and will work within the limitations of those tuning systems. [To achieve the unique LucyTuned harmonics and intervals, you will need a LucyTuned guitar, or to refret your instrument.] The open strings should be tuned to the frequencies assigned to the notenames in the corresponding tuning system. [eg for LucyTuned guitars with conventional notenames - strings 6&1 (E) are tuned 4.5 cents flatter than 12et E; 4th string (D) 4.5 cents sharper than 12 et D; 3rd string (G) 9.0 cents sharper than 12et G; and 2nd string (B) 9.0 cents flatter than 12et B.] * Notes marked * will be sharper than conventional tuning name. String numbers/ MegaMode & Notenames Code Open Chord Name 6 5 4 3 2 1 E A E* E A E 1/0 A (no III) C G C G C* G* 1/0 C (no III) D A D D A D 1/0 D (no III) DadDad C Bb*C F Bb F* 2/0 Fsus4 or Bb9 (no bVII or III) D G C G C* D 2/0 Gsus4 or C9 (no bVII or III) D A D E A D 2/0 Asus4 or D9 (no bVII or III) D A E* E A A* 2/0 Asus4 or D9 (no bVII or III) E A D E A E 2/0 Asus4 or D9 (no bVII or III) E B* E* F# B E 2/0 Bsus4 or E9 (no bVII or III) C G C G C* F* 2/0 Csus4 or F9 (no bVII or III) D G D D A D 2/0 Dsus4 or G9 (no bVII or III) D A D G A D 2/0 Dsus4 or G9 (no bVII or III) DadGad D A D G D* G* 2/0 Dsus4 or G9 (no bVII or III) D G D G A D 2/0 Dsus4 or G9 (no bVII or III) C G D G A D 2/0 Dsus4 or G9 (no bVII or III) C G D F G C 3/0 Dm7 (noV) sus4 B F# B E A E 3/0 F#m7 (noV) sus4 D A D E A B 3/0 E7 sus4 or A9 (no bVII) sus4 or D6&9 (no III) D G D E A D 3/0 A7 sus4 or D9 (no bVII) sus4 or G6&9 (no III) E G D G A D 3/0 A7 sus4 or D9 (no bVII) sus4 or G6&9 (no III) E G D E A E 3/0 A7 sus4 or D9 (no bVII) sus4 or G6&9 (no III) D A D A* C* D 3/2 D7 (no III) C G Bb Eb F Bb 4/0 Cm7sus4 C G D D A E 4/0 D9 sus4 (no III) C G D A* E* G* 4/0 D9 sus4 (noIII) (Robert Fripp) D A C G C* E 4/0 D9 sus4 (no III) D A D G C* E 4/0 D9 sus4 (no III) D A C D E* G* 4/0 D9 sus4 (no III) E B* E* F# A D 4/0 E9 sus4 (no III) D A D F# B E 4/0 E9 sus4 (no III) & D6&9 (no VII) E A D F# B E 4/0 E9 sus4 (no III) Lute D A D G B E 4/0 A9 sus4 (no III) Em7 & G6 (Drop D) D A E* G C* E 4/0 Am7 sus4 or C6&9 E A D G B E 4/0 Em7 sus4 or G6&9 (Standard Tuning) E B* D G A D 4/0 Em7 sus4 or G6&9 E B* E* G A D 4/0 Em7 sus4 or G6&9 E A E* G B E 4/2 Em sus4 or A9 (no III) E B* E* G A E 4/2 Em sus4 or A9 (no III) D Bb*D G Bb D 4/23 G minor D G D G Bb D 4/23 G minor E A C E A E 4/23 A minor E A E* A* C* E 4/23 A minor E B* E* G B E 4/23 E minor C# G# C# G#*C#*E 4/23 C# minor F#*A C# A* A E 4/3 F#m7 & A6 C G C G A E 4/3 Am7 & C6 C A C G C* E 4/3 Am7 & C6 Eb Bb*Eb*G C* Eb 4/3 Cm7 & Eb6 D A D F C* F* 4/3 Dm7 & F6 D G D G B E 4/3 Em7 & G6 F* Ab C Eb Ab Eb 4/3 Fm7 & Ab6 E A C# A* C#*E 4/34 A Major E A E* A* C#*E 4/34 A Major (Open Blues) C G E* G C* E 4/34 C Major (Cyail C) C G C G C* E 4/34 C Major (Open C) D A D F# A D 4/34 D Major (Open D) E G# E* G#*B E 4/34 E Major (Slide Blues) E B* E* G#*B E 4/34 E Major D G D G B D 4/34 G Major (Taro Patch) (Open G) D A E F# A D 4/4 D9 (no bVII) E C E* G C* D 4/4 C9 (no bVII) D G D G C* E 4/4 C9 (no bVII) C A D G B E 5/0 C Maj9 + 6 E A D G C* F* 5/0 F Maj9 + 6 (Chain of IVths) G* B* E* F# A D 5/0 G Maj9 + 6 B F# C# D A D 5/3 D Maj7 + 6 E A E* G#*C#*E 5/34 A Maj7 C# A C# G#*A E 5/34 A Maj7 D A D F Bb F* 5/34 Bb Maj7 C G E* G B E 5/34 C Maj7 (Gabby C) Emb6 E B* E* G C* E 5/34 C Maj7 G* C* E* G B E 5/34 C Maj7 D A D F# A C# 5/34 D Maj7 D A C# F# A E 5/4 F#m7b6 D A C# E A E 5/45 A sus 4 E B* E* G#*B D# 5/45 E Maj7 D G D F# B D 5/45 G Maj7 C G D G B E 5/45 C Maj9 F* Bb*C F A D 5/45 Bb Maj9 (Wahine) Dm7b9 C D? G? G B E 5/45 C Maj9 (no III) C G D G B C 5/45 C Maj9 (no III) C G D G B D 5/45 C Maj9 (no III) Em7b6 C G C F C* E 5/45 F Maj9 (no III) D A D G A F#* 5/45 G Maj9 (no III) F* A C A* Bb F* 5/45 F sus 4 Eb Bb*C F C* D 5/45 Bb9 sus4 (no VII) C G D F C E 5/5 C9 (no bVII) sus 4 F* A D G B E 6/2 Dm + Em D A D G C* Eb 6/236 Cm6+9 (no VII) E A C# G C#*E 6/256 A7 F#*A C# A* A D# 6/256 F#m6 D A D F# C* D 6/256 D7 E G# D G#*B E 6/26 E7 E B* D G#*B F#* 6/26 E9 E B* C# G A E 6/2 A9 E A C G#*C* E 8/23678 Am Maj7 D A D F C#*F* 8/2368 Dm Maj7 E B* E* G B D# 8/23678 Em Maj7 Eb Ab E* F B Eb 9/35678 Fm7 Maj7 Aug 4 (no V) Charles Lucy 8th Feb 1995. (with new additions) for more info. see our website at http//:ourworld.compuserve.com/homepages/lullaby Replies, comments etc. to lucy@hour.com Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 31 Jan 1997 13:08 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA20745; Fri, 31 Jan 1997 13:08:36 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA20728 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id EAA27584; Fri, 31 Jan 1997 04:07:15 -0800 Date: Fri, 31 Jan 1997 04:07:15 -0800 Message-Id: <009AF2FFD68DCB96.1744@vbv40.ezh.nl> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu